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Finding the Fourth Proportional to 808.93, 1,213.40 and 321.98

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Solution

The fourth proportional to 808.93, 1,213.40 and 321.98 is: 482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.93 : 1,213.40 = 321.98 : x
  2. Step 2: Convert to fraction form
    808.93/1,213.40 = 321.98/x
  3. Step 3: Cross multiply
    808.93x = 1,213.40 × 321.98
  4. Step 4: Simplify right side
    808.93x = 390,690.53
  5. Step 5: Solve for x
    x = 390,690.53/808.93
  6. Step 6: Final answer
    x = 482.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.